Consider the following subsets of R³ and • decide if they are vector subspaces • if they are vector subspaces, find a basis • if they are vector subspaces, find the dimension (a) {(a, b, a – b) | a, b E R} (b) {(a, a, a²) | a € R} (c) {(x, y, 2) | x + 3y – z = 0} (d) {(x,y, z) | x + 3y – z = 1}

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